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Simplifying (2 + -3i) + -1(6 + -5i) = 0 Remove parenthesis around (2 + -3i) 2 + -3i + -1(6 + -5i) = 0 2 + -3i + (6 * -1 + -5i * -1) = 0 2 + -3i + (-6 + 5i) = 0 Reorder the terms: 2 + -6 + -3i + 5i = 0 Combine like terms: 2 + -6 = -4 -4 + -3i + 5i = 0 Combine like terms: -3i + 5i = 2i -4 + 2i = 0 Solving -4 + 2i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 2i = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 2i = 0 + 4 2i = 0 + 4 Combine like terms: 0 + 4 = 4 2i = 4 Divide each side by '2'. i = 2 Simplifying i = 2
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